The Baum-Sweet sequence is the sequence of numbers such that if the binary representation of contains no block of consecutive 0s of odd length, and otherwise. For , 2, ... the first few terms are 1, 0, 1, 1, 0, 0, 1, 0,
1, 0, 0, 1, 0, 0, 1, ... (OEIS A086747). A
recurrence plot of the limiting value of this
sequence is illustrated above.
Allouche, J.-P. and Shallit, J. "Example 5.1.7 (The Baum-Sweet Sequence)." Automatic
Sequences: Theory, Applications, Generalizations. Cambridge, England: Cambridge
University Press, pp. 156-157, 2003.Baum, L. E. and Sweet,
M. M. "Continued Fractions of Algebraic Power Series in Characteristic
2." Ann. Math.103, 593-610, 1976.Sloane, N. J. A.
Sequence A086747 in "The On-Line Encyclopedia
of Integer Sequences."
such that 
if the binary representation of 
contains no block of consecutive 0s of odd length, and 
otherwise. For 
, 2, ... the first few terms are 1, 0, 1, 1, 0, 0, 1, 0,
1, 0, 0, 1, 0, 0, 1, ... (OEIS A086747). A
recurrence plot of the limiting value of this
sequence is illustrated above.
